Prime factorization of 255

Here you will see step by step solution of prime factorization of 255, how to find factors of 255, you will see all factors of 255, how many factors of 255 has? Factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255, we can see that 255 has 8 factor and sum of all factors is 432.

  • All Factors of 255: 1, 3, 5, 15, 17, 51, 85, 255
  • Prime Factors of 255: 3 × 5 × 17
  • Prime Factorization of 255: 31 × 51 × 171
  • Sum of Factors of 255: 432
  • Is 255 prime number: No

How to find factors of 255 by Division Method?

To find the factors of 255 by division method, we need the find the all numbers between 1 to 255, which divide 255 with 0 remainder, then the number is factor of 255.

Pair factors of 255

  • 255/1 = 255 [ 1 × 255 (1, 255) 1 and 255 is pair factor of 255]
  • 255/3 = 85 [ 3 × 85 (3, 85) 3 and 85 is pair factor of 255]
  • 255/5 = 51 [ 5 × 51 (5, 51) 5 and 51 is pair factor of 255]
  • 255/15 = 17 [ 15 × 17 (15, 17) 15 and 17 is pair factor of 255]
  • 255/17 = 15 [ 17 × 15 (17, 15) 17 and 15 is pair factor of 255]
  • 255/51 = 5 [ 51 × 5 (51, 5) 51 and 5 is pair factor of 255]
  • 255/85 = 3 [ 85 × 3 (85, 3) 85 and 3 is pair factor of 255]
  • 255/255 = 1 [ 255 × 1 (255, 1) 255 and 1 is pair factor of 255]

As we checked numbers between 1 to 255 that are not leaving any remainder, hence we can say factors of 255 is 1, 3, 5, 15, 17, 51, 85, 255.

Also note that, in exponential form prime factorization of 255 is written as 31 × 51 × 171 and it is a composite number.

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We hope you understand that how to find factors of 255. Let's check some other examples of factors.

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